Part A: 180 = 4m + b B = 180 + 4m 325 = 9m + b 325 - 180 = 9m - 4m 5m = 145 m = 29 b = 180 + 4(29) = 64 y = 29x + 64
1 answer:
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The area of the shaded sector is one-fourth of the area of the whole circle so:
area of shaded region
The area of the shaded region is 9pi units^2
area of shaded region
The area of the shaded region is 9pi units^2
We have been given gross domestic product (in billions of dollars) can be approximated by .
(a) In this part, we need to compute the derivative of this function:
(b) In this part, we need to find the value of P'(45). So, we will substitute t=45
Billion dollars per year.
(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.
Answer:
a
Step-by-step explanation:
A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.
Calculate slope m using the slope formula
m =
with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)
m = =
=
=
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
← slope of perpendicular bisector
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
(,
)
using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then
midpoint = ( ,
) = (
,
) = (1, 7 )
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , then
y = - x + c ← is the partial equation
To find c substitute the midpoint (1, 7) into the partial equation
7 = - + c ⇒ c =
+
=
y = - x +
← equation of perpendicular bisector